Problems

# Segments intersection

# Segments intersection

Two segments are given in the plane with integer coordinates of its endpoints in Cartesian coordinate system. Determine whether they intersect (have a common point).

**Input**

The first line contains the coordinates of the first endpoint of the first segment, the second line - the second endpoint of the first segment. The third and fourth lines - the corresponding coordinates of the second segment. The coordinates are integer, their absolute value do not exceed **10000**.

**Output**

Print the word "**Yes**", if segments have common point, or "**No**" - otherwise.

Input example

Sample 1 0 0 1 0 1 0 1 1 Sample 2 0 0 1 0 2 0 3 0

Output example

Sample 1 Yes Sample 2 No